At a company, the average wage of male employees is $9.97 per hour, an

Question

At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?

A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1

Attachments

8F0C3E5D-8ABA-4D15-B45F-A9AC6EFD18BE.jpeg [ 322.44 KiB | Viewed 1630 times ]

A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1

Skywalker18 · Answer

Average hourly wage of male employees = 9.97 $
Average hourly wage of female employees = 10.37 $
Average hourly wage of all employees = 10.12 $

Let number of male employees = m
number of female employees = f
10.12 = (9.97m + 10.37f ) / m+f
=>10.12m + 10.12f = 9.97m + 10.37f
=> .15m = .25f
=> m/f = .25/.15 = 5/3

Answer D

Alternatively ,

9.97 --- 10.12 ----- 10.37
The overall average is .15 more than male average and .25 lesser than female average 
so the ratio of distances is 3:5
Number of employees will be in inverse proportion - 5:3

Answer D

Abhishek009 · Answer

Remove decimal point and check the answer options

A) 1 to 2

997 *1 + 1037*2 = 3071/3 => 1,023.67
 
B) 2 to 3

997 *2 + 1037*3 = 5,105/3 => 1,701.67
 
C) 3 to 2

997 *2 + 1037*3 = 6,102/5 => 1,220.4

D) 5 to 3

997 *5 + 1037*3 = 8096/8 => 1,012.00

E) 2 to 1

997 *2 + 1037*1 = 3,031/3 => 1,010.33

So, Answer will be (D)

ScottTargetTestPrep · Answer

Fact: Given two groups of people, A and B, if group A has an average of a and group B has an average of b and the overall average of the two groups is c, then the ratio of the number of people in group A to the number of people in group B is |b - c|/|a - c|.

Here, we can let group A be male employees and group B be female employees, so a = 9.97, b = 10.37 and c = 10.12. Since |b - c| = |10.37 - 10.12| = 0.25 and |a - c| = |9.97 - 10.12| = 0.15, the ratio of the number of male employees to the number of female employees is 0.25/0.15 = 25/15 = 5/3.

Alternate Solution:

We can let m = the number of male employees and f = the number of female employees. Using the weighted average formula, sum of weights/total = average, we have:

(9.97m + 10.37f) / (m + f) = 10.12

9.97m + 10.37f = 10.12m + 10.12f

0.25f = 0.15m

0.25/0.15 = m/f

5/3 = m/f

Answer: D

MBAHOUSE · Answer

At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?

A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1

Attachments

8F0C3E5D-8ABA-4D15-B45F-A9AC6EFD18BE.jpeg [ 322.44 KiB | Viewed 1630 times ]

A) 1 to 2
B) 2 to 3
C) 3 to 2
D) 5 to 3
E) 2 to 1

At a company, the average wage of male employees is $9.97 per hour, an

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GMAT Problem Solving (PS) Questions

At a company, the average wage of male employees is $9.97 per hour, an

Prep Toolkit

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